What is the Greatest Common Factor of 52821 and 52830?

Greatest common factor (GCF) of 52821 and 52830 is 9.

GCF(52821,52830) = 9

We will now calculate the prime factors of 52821 and 52830, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52821 and 52830.

How to find the GCF of 52821 and 52830?

We will first find the prime factorization of 52821 and 52830. After we will calculate the factors of 52821 and 52830 and find the biggest common factor number .

Step-1: Prime Factorization of 52821

Prime factors of 52821 are 3, 5869. Prime factorization of 52821 in exponential form is:

52821 = 3² × 5869¹

Step-2: Prime Factorization of 52830

Prime factors of 52830 are 2, 3, 5, 587. Prime factorization of 52830 in exponential form is:

52830 = 2¹ × 3² × 5¹ × 587¹

Step-3: Factors of 52821

List of positive integer factors of 52821 that divides 52821 without a remainder.

1, 3, 9, 5869, 17607

Step-4: Factors of 52830

List of positive integer factors of 52830 that divides 52821 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90, 587, 1174, 1761, 2935, 3522, 5283, 5870, 8805, 10566, 17610, 26415

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52821 and 52830. The biggest common factor number is the GCF number.
So the greatest common factor 52821 and 52830 is 9.

Also check out the Least Common Multiple of 52821 and 52830